What is the Greatest Common Factor of 81570 and 81576?

Greatest common factor (GCF) of 81570 and 81576 is 6.

GCF(81570,81576) = 6

We will now calculate the prime factors of 81570 and 81576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81570 and 81576.

How to find the GCF of 81570 and 81576?

We will first find the prime factorization of 81570 and 81576. After we will calculate the factors of 81570 and 81576 and find the biggest common factor number .

Step-1: Prime Factorization of 81570

Prime factors of 81570 are 2, 3, 5, 2719. Prime factorization of 81570 in exponential form is:

81570 = 2¹ × 3¹ × 5¹ × 2719¹

Step-2: Prime Factorization of 81576

Prime factors of 81576 are 2, 3, 11, 103. Prime factorization of 81576 in exponential form is:

81576 = 2³ × 3² × 11¹ × 103¹

Step-3: Factors of 81570

List of positive integer factors of 81570 that divides 81570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2719, 5438, 8157, 13595, 16314, 27190, 40785

Step-4: Factors of 81576

List of positive integer factors of 81576 that divides 81570 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 103, 132, 198, 206, 264, 309, 396, 412, 618, 792, 824, 927, 1133, 1236, 1854, 2266, 2472, 3399, 3708, 4532, 6798, 7416, 9064, 10197, 13596, 20394, 27192, 40788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81570 and 81576. The biggest common factor number is the GCF number.
So the greatest common factor 81570 and 81576 is 6.

Also check out the Least Common Multiple of 81570 and 81576